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The shift map on Floer trajectory spaces

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arxiv 1803.03826 v1 pith:HE27EHHK submitted 2018-03-10 math.SG math.FA

Urs Frauenfelder , Joa Weber This is my paper · ORCID
classification math.SGmath.FA
keywords floerproofshiftspacestrajectoryahlerarticleelliptic
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In this article we give a uniform proof why the shift map on Floer homology trajectory spaces is scale smooth. This proof works for various Floer homologies, periodic, Lagrangian, Hyperk\"ahler, elliptic or parabolic, and uses Hilbert space valued Sobolev theory.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Hilbert manifold structures on path spaces

    math.SG 2025-07 conditional novelty 7.0 of 10

    Path spaces and their weak tangent bundles over tame two-level Hilbert manifolds carry C^1 Hilbert manifold structures, proved via interpolation charts instead of exponential maps.

  2. Loop space blow-up and scale calculus

    math.SG 2025-09 accept novelty 6.0 of 10

    The Barutello-Ortega-Verzini regularization map on the smooth loop space is scale smooth.

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